Finding the Third Proportional to 43,200 and 89,398

Step by Step Solution

1. Step 1: Write the proportion equation
   43,200 : 89,398 = 89,398 : x
2. Step 2: Convert to fraction form
   43,200/89,398 = 89,398/x
3. Step 3: Cross multiply
   43,200x = 89,398 × 89,398
4. Step 4: Simplify right side
   43,200x = 7,992,002,404
5. Step 5: Solve for x
   x = 7,992,002,404/43,200
6. Step 6: Final answer
   x = 185,000.06